Questions tagged [integer]

For challenges involving the manipulation of integers.

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16
votes
14answers
845 views

Make a Rectangle from a Triangle

You can depict a triangular number, T(N), by writing one 1 on a line, then two 2's on the line below, then three 3's on the line below that, and so on until N N's. You end up with a triangle of T(N) ...
23
votes
9answers
624 views

Maintain diagonal symmetry when placing N items on a square grid

Write a program that takes in two non-negative integers S and N in that order. S represents the side length of a square grid of . characters. N represents the ...
15
votes
14answers
1k views

Generating generating expressions for sequences

(yes, "generating generating" in the title is correct :) ) Context In middle (?) school we are taught about sequences and, in particular, we are taught about linear sequences where the ...
23
votes
21answers
2k views

Four distinct 8-bit integers

Submit a well-formed program or function with usual I/O rules which satisfy the input, output, and algorithm conditions below. Shortest submission (in bytes) wins. As always, standard loopholes are ...
12
votes
4answers
400 views

Solving the water bucket riddle!

Context The water buckets riddle or the water jugs riddle is a simple riddle that can be enunciated in a rather general form as: Given \$n > 0\$ positive integers \$a_1, a_2, \cdots, a_n\$ ...
18
votes
22answers
2k views

A bit of a digital XOR

Here are the first 100 numbers of a sequence: ...
17
votes
20answers
2k views

All aboard the factorial train

The system Assume the Earth is flat and that it extends infinitely in all directions. Now assume we have one infinitely long train railway and n trains in that ...
28
votes
45answers
4k views

How many petals around the rose

How many petals around the rose How many petals around the rose is a dice game you can play with your friends. Similar to "can I join the music box", there is a person that knows how the game works ...
15
votes
23answers
2k views

Summing a sub-square of a quarter of an infinite chessboard

Description of the problem Imagine a quarter of an infinite chessboard, as in a square grid, extending up and right, so that you can see the lower left corner. Place a 0 in there. Now for every other ...
9
votes
5answers
477 views

Computing a specific coefficient in a quotient of polynomials

Context After "Computing a specific coefficient in a product of polynomials", asking you to compute a specific coefficient of polynomial multiplication, I wish to create a "mirror" challenge, asking ...
34
votes
45answers
3k views

(RGS 1/5) Binary multiples

A binary multiple of a positive integer k is a positive integer n such that n is written ...
38
votes
13answers
3k views

Phony fractions

Context If a0 and b0 are two decimal numbers, with a and ...
2
votes
5answers
164 views

Shift the digits [closed]

Here, x (supplied as input) and n (the result of your computation) are both positive integers. n * x = n shifted. Find n. Here's an example of shifting: ...
12
votes
9answers
1k views

Integer Logarithm

Objective Take \$a \in ℤ_{>1}\$ and \$b \in ℤ_+\$ as inputs. Write a function \$f\$ such that: $$ f(a,b) = \left\{ \begin{array}{ll} \log_ab & \quad \text{if} \space \log_ab \in ℚ ...
36
votes
37answers
8k views

Is this a triangle?

Task Write a function/program that, given three positive integers a, b and c, prints a ...
22
votes
22answers
2k views

Mountain range numbers

Mountain range number A number is a mountain range number if the inequalities satisfied by their consecutive digits alternate. In a way, looking at the number's digits should exhibit a ...
20
votes
24answers
2k views

Power-Ending Patterns

When you look at the last decimal digit of each power of a non-negative integer a repeating pattern forms. For example, 3: ...
14
votes
14answers
890 views

Computing a specific coefficient in a product of polynomials

Generator functions This gives the context for why this challenge came to life. Feel free to ignore. Generator functions are a nice way of encoding the solution to a problem of combinatorics. You ...
31
votes
5answers
2k views

Make The Finest Magic Code Square

In math a magic square is an N×N grid of numbers from 1 to N2 such that every row, column, and diagonal sums to the same total. For example here's a 3×3 magic square: In this challenge we'...
4
votes
15answers
2k views

Move my liquid to make me equal

You are given 4 positive integers: volume of the first container (v1), volume of the second container (v2), volume of the liquid ...
19
votes
9answers
1k views

Proportion of self-avoiding walks on a square lattice

The challenge Given a positive integer N, compute the proportion of N-step walks on a plane that don't intersect themselves. ...
21
votes
38answers
4k views

Round up my number

Sandbox Given two positive integers a and b, return the smallest multiple of b that is greater than or equal to a. Examples Definitions: true = ...
16
votes
16answers
1k views

Find the length of a number's “base-jumping” path

Consider a positive integer N written in base b. A sequence is generated from this number by finding the largest digit ...
24
votes
8answers
2k views

Inverse Look-and-Say

Background The Look and Say Sequence is built up by reading off the digits of previous entries in the sequence, counting the number of digits in groups of the same digit. For example: ...
1
vote
0answers
72 views

Making Fibonacci Cry [duplicate]

Introduction The Fibonacci sequence is a mathematical sequence in which each term is the sum of the \$2\$ terms before it; the first two terms are \$0\$ and \$1\$. The first few terms are \$0, 1, 1, ...
1
vote
20answers
470 views

Quine in Bytes, not Characters [duplicate]

Introduction A quine is a program that takes no input and produces a copy of its own source code as output. Writing a quine is a standard test of a programming language. Most quines operate using ...
19
votes
25answers
4k views

Visualize a large int

Convert a large int (e. g. 1234567890) into a string containing the usual decimal prefixes k, M, G, T, etc. for kilo, mega, giga, tera, etc. The result shall be groups of three digits, interspersed ...
13
votes
35answers
2k views

Determine the Winner of a Game of Australian Football

In Australian Football, goals are worth 6 points and behinds are worth 1 point. Scores may include the number of goals and behinds, as well as the total score. Given the number of goals and behinds ...
32
votes
29answers
5k views

Double it your way

There have been a couple of challenges involving doubling source code: here and here. The task we have here is a bit harder, but should be doable in almost every language. In this challenge, you will ...
28
votes
17answers
4k views

Infinitely many primes

Since Euclid, we have known that there are infinitely many primes. The argument is by contradiction: If there are only finitely many, let's say \$p_1,p_2,...,p_n\$, then surely \$m:=p_1\cdot p_2\cdot.....
24
votes
24answers
5k views

Count the number of triangles

Given a list of positive integers, find the number of triangles we can form such that their side lengths are represented by three distinct entries of the input list. (Inspiration comes from CR.) ...
19
votes
30answers
2k views

Numbers Decrease while Letters Increase

Randomly inspired by Numbers Increase While Letters Decrease Given a list of mixed letters and integers (e.g., ['a', 2, 3, 'b']) increase the letters by one ...
27
votes
30answers
3k views

Output with the same length always

With challenges like Output with the same length as the code and Create output twice the length of the code, I thought of a separate, but similar challenge. The task is to produce an output. It can ...
14
votes
1answer
311 views

Decompose Commutators

A theorem in this paper1 states that every integral n-by-n matrix M over the integers with trace M = 0 is a commutator, that means there are two integral matrices A,B of the same size ...
35
votes
35answers
5k views

Repeated! Factorials!

Not to be confused with Find the factorial! Introduction The factorial of an integer n can be calculated by $$n!=n\times(n-1)\times(n-2)\times(...)\times2\times1$$...
29
votes
29answers
4k views

Inverse Colombian Function

Let's define a sequence: The n digit summing sequence (n-DSS) is a sequence that starts with n. If the last number was k, then the next number is k + digit-sum(k). Here are the first few n-DSS: ...
6
votes
4answers
455 views

Find X,Y,Z coordinates from index

Introduction I began studying the Collatz Conjecture And noticed these patterns; 0,1,2,2,3,3...A055086, and 0,1,2,0,3,1...A082375, in the numbers that go to 1 in one odd step, 5,10,20,21,40,42......
24
votes
24answers
3k views

Robbers: The Hidden OEIS Substring

This is a Cops and Robbers challenge. This is the robber's thread. The cop's thread is here. The cops will pick any sequence from the OEIS, and write a program p that prints the first integer from ...
38
votes
27answers
4k views

Cops: The Hidden OEIS Substring

This is a Cops and Robbers challenge. This is the cop's thread. The robber's thread is here. As a cop, you must pick any sequence from the OEIS, and write a program p that prints the first integer ...
27
votes
54answers
6k views

Integer Lists of Noah

Introduction: I think we've all heard of it, but here a very brief summary: Noah gathered two of every species of animal on the planet, male and female, to save in his Ark during a great flood. The ...
3
votes
3answers
119 views

Sum of multiples of powers of ten of an integer [duplicate]

Write a function to produce, for a non-negative integer, a string containing a sum of terms according to the following: ...
-6
votes
4answers
221 views

Is this number a palindrome? [closed]

Input A single integer in your language's preferred format, e.g int or an array of digits are all acceptable. Output A truthy or falsely value, depending on ...
38
votes
31answers
14k views

Do the 26 richest billionaires own as much wealth as the poorest 3.8 billion people?

Introduction: A few days ago I read this post with the same title when I came across it in the HNQ. In this question it is being discussed if the claim of president-candidate Bernie Sanders, who ...
45
votes
12answers
3k views

Prime parity peregrination

The purpose of this challenge is to graphically depict a walk on the plane, where the direction of each step \$k\$ is determined by the primality of \$k\$ and the parity of its binary expansion. ...
7
votes
0answers
201 views

Fastest way to iterate over sublattice of discrete lattice

I need to construct a functor that iterates over the linear representation of a sub-lattice of size \$d_x,d_y,d_z,d_q\$ embedded in a lattice of size \$n_x,n_y,n_z,n_q\$. The sub-lattice corner is ...
22
votes
6answers
1k views

Subtract the Folded Matrix

Challenge: Given an NxN matrix where \$N\geq2\$ and one of eight distinct 'folding options', output a 2D array/list with the subtracted values. The eight folding options are: left-to-right; right-to-...
12
votes
6answers
926 views

Group Integers by Originality

Introduction: I collect twisty puzzles. Most twisty puzzles are produced and sold by Chinese companies. Most well-known companies ask permission from puzzle designers to produce their designs and ...
20
votes
22answers
2k views

Rotated Position of Integers

Challenge: Input: A sorted list of positive integers. Output: The amount of integers which are still at the exact same index, after rotating the digits in each integer its index amount of times ...
8
votes
4answers
614 views

Leading and Suffering Numbers

Introduction: In Dutch, the words leading and suffering, being 'leiden' and 'lijden' respectively, are pronounced the same way. One is written with a "short ei", and one with a "long ij", as we ...
20
votes
9answers
1k views

Warped chessboard

This challenge is about building a chessboard in which the square size, instead of being constant across the board, follows a certain non-decreasing sequence, as described below. The board is defined ...

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